Rationality and Operators: The Formal Structure of Preferences

Author:   Susumu Cato
Publisher:   Springer Verlag, Singapore
Edition:   1st ed. 2016
ISBN:  

9789811018954


Pages:   124
Publication Date:   24 August 2016
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Rationality and Operators: The Formal Structure of Preferences


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Author:   Susumu Cato
Publisher:   Springer Verlag, Singapore
Imprint:   Springer Verlag, Singapore
Edition:   1st ed. 2016
Dimensions:   Width: 15.50cm , Height: 0.70cm , Length: 23.50cm
Weight:   2.175kg
ISBN:  

9789811018954


ISBN 10:   9811018952
Pages:   124
Publication Date:   24 August 2016
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Introduction.- 1.1 The Aim of This Book.- 1.2 Rationality of Preference.- 1.3 An Operational Interpretation of Theorems of Welfare Economics.- 1.4 What Can the Operational Approach Achieve?.- 1.5 A Historical Perspective.- 1.6 The Structure of This Book.- 2 Preferences and Operators.- 2.1 Introduction.- 2.2 Binary Relations.- 2.3 Basic Results on Operators.- 2.4 Closure Operators.- 2.5 Concluding Remarks.- 3 Rationality and Operators.- 3.1 Introduction.- 3.2 Properties of Binary Relations.- 3.3 Choice Functions.- 3.4 Extensions.- 3.5 Concluding Remarks.- 4 Operations over the Set of Binary Relations.- 4.1 Introduction.- 4.2 Basic Results.- 4.3 Direct Operations over the Set of Binary Relations.- 4.4 Indirect Operations over the Set of Binary Relations.- 4.5 Concluding Remarks.- 5 Application to Welfare Economics.- 5.1 Introduction.- 5.2 Setting.- 5.3 Paretian Welfare Economics.- 5.4 The Kaldor-Hicks Compensation Principle.- 5.5 Bergsonian-Samuelson Approach of Welfare Economics.- 5.6Concluding Remarks.- 6 Conclusion: Beyond Ordinal Operators.- 6.1 More Applications.- 6.2 Operators for Ordinal Preferences.- 6.3 Operators for Cardinal Preferences.- 6.4 Final Remarks.- Index.

Reviews

The book is very clearly written and contains original results concerning a modern and fruitful approach to the study of preferences. It appears as useful for a large audience in both mathematics and economics. (Gianni Bosi, Mathematical Reviews, July, 2019)


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